Kramer, Gary J. E.; Grierson, Donald E. Computer automated design of structures under dynamic loads. (English) Zbl 0711.73164 Comput. Struct. 32, No. 2, 313-325 (1989). Summary: A computer-based structural design methodology is developed for the minimum weight design of planar frameworks subjected to dynamic loading. Constraints are placed on dynamic displacements, dynamic stresses, natural frequencies and member sizes. The method makes use of dynamic finite element analysis, sensitivity analysis and first-order Taylor series constraint approximations. Extreme responses are identified so as to convert the time-parametric design problem into an explicit non- parametric form, which is solved iteratively using a dual optimization routine. The number of iterations necessary to achieve convergence to the minimum weight design is quite small and relatively independent of the complexity of the structure. The method can account for combined axial and bending stresses, and is capable of designing minimum weight structures under simultaneous static and dynamic loading. Several example framework designs are presented to illustrate the features of the design method. MSC: 74P99 Optimization problems in solid mechanics 74S30 Other numerical methods in solid mechanics (MSC2010) 74P10 Optimization of other properties in solid mechanics 74S05 Finite element methods applied to problems in solid mechanics 65K10 Numerical optimization and variational techniques Keywords:minimum weight design; planar frameworks; Constraints; dynamic displacements; dynamic stresses; natural frequencies; member sizes; dynamic finite element analysis; sensitivity analysis; first-order Taylor series constraint approximations; Extreme responses; time-parametric design problem; explicit non-parametric form; solved iteratively; dual optimization routine PDFBibTeX XMLCite \textit{G. J. E. Kramer} and \textit{D. E. Grierson}, Comput. Struct. 32, No. 2, 313--325 (1989; Zbl 0711.73164) Full Text: DOI